Mathematics
Factorization of 3a(3a + 2c) − 4b(b + c) is:
(3a + 2b)(3a + 2b + 2c)
(3a − 2b)(3a − 2b + 2c)
(3a − 2b)(3a + 2b + 2c)
(3a − 2b)(3a + 2b − 2c)
Factorisation
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Answer
Given,
⇒ 3a(3a + 2c) − 4b(b + c)
⇒ 9a2 + 6ac − 4b2 - 4cb
⇒ (3a)2 − (2b)2 + 6ac - 4cb
⇒ (3a + 2b)(3a - 2b) + 2c(3a - 2b)
⇒ (3a - 2b)(3a + 2b + 2c).
Hence, option 3 is correct option.
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